Answer:
840
Step-by-step explanation:
Given


Required
Determine the number of rankings
The term "ranking" as used in this question implies permutation and the required is calculated using:

Where


So:






<em>Hence, number of ranking is 840</em>
Answer:
if 
Step-by-step explanation:
Recall some following basic ideas about absolute value:
or I guess 

or just
but there is a reason why I wrote it the way I did.
You see that the absolute value returned the same value if the value was positive.
You see that the absolute value returned the opposite value if the value was negative.
You can include 0 in either.
Let's look at
alone for a second.
*
if
is positive or zero.
When is
positive or zero? [greater than or equal to 0]

Subtract 3 on both sides

*
if
is negative or zero.
When is
negative or zero? [less or equal to 0]

Subtract 3 on both sides

So looking at the bullet points (the *),
fits into the first inequality.
Therefore,
.
bill nye is in fact the science guy
Answer:
You can find and write the equations in Slope-Intercept form due to the slope and y-intercept.
Step-by-step explanation:
The Slope-Intercept Form Formula: y=mx+b
The m represents the slope while the b represents the y-intercept
You can also use y2 - y1 / x2 - x1 to find the slope which is the m in your formula.
Lastly, to find a y-intercept, you can plug in your coordinate for the x and y to do two-step linear equations.
Answer:
Step-by-step explanation:
We assume the graph is a plot of Sean's distance from home as he drives to work, works 8 hours, then drives home with a 2-hour stop along the way. It also appears that t is measured in hours after midnight.
The graph shows Sean's distance from home between 9 a.m. and 5 p.m. (t=17) is 20 km. Based on our assumptions, ...
Sean's workplace is located 20 km from his home.
__
Speed is the change in distance divided by the change in time. Between 8 a.m. and 9 a.m. Sean's position changes by 20 km. His speed is then ...
(20 km)/(1 h) = 20 km/h
Sean's speed driving to work was 20 km/h.
__
Between 5 p.m. (t=17) and 7 p.m. (t=19), Sean's position changes from 20 km to 10 km from home. That change took 2 hours, so his speed was ...
(10 km)/(2 h) = 5 km/h
Sean's speed between 5 p.m. and 7 p.m. was 5 km/h.
_____
<em>Additional comment</em>
The units of speed (kilometers per hour) tell you it is computed by dividing kilometers by hours. ("Per" in this context means "divided by".)
While the slope of the line on the graph between 5 p.m. and 7 p.m. is negative, the speed is positive. The negative sign means Sean's speed is not away from home, but is toward home. When the direction (toward, away) is included, the result is a vector called "velocity." Speed is just the magnitude of the velocity vector. It ignores direction.